![]() ![]() Improper fractions can be whole numbers in disguise:ġ00 10 = 10 \frac 8 31 . You are probably familiar with fractions, which are usually parts of a whole and always existing (in proper form) between the whole numbers 0 and 1: When fractions and whole numbers get together, though, the mixed numbers can be much more challenging to understand. Much money she has made in total on that day.Fractions by themselves are often easy to understand. You can then do what you did in question 1(a), without writing the separate terms of the expanded form.Ĭalculate each of the following without using a calculator.Ī farmer buys a truck for R645 840, a tractor for R783 356, a plough for R83 999 and a bakkie for R435 690.Ħ82 in one day on the stock market and then loses R264 359 on It is only possible to use the shorter method if you add the units first, then add the tens, then the hundreds and finally, the thousands. This is a bit harder on theĮxplain how the numbers in each of steps 1 to 4 are obtained. You can calculate \(3 758 + 5 486\) as shown on the left below.Īs shown on the right. Write \(5 486\) in expanded notation, as shown in 1(b). But 5/2 2.5 is neither a natural nor a whole number. E.g.: 4/2 2 is natural, as well as the whole number. If the result is in fraction or decimal, they are not considered natural and whole numbers. What you did in question 4 is called compensating for errors.Įstimate each of the following by rounding off the numbers to the nearest 100.įind the exact answer for each of the calculations in question 5, by working out the errors caused by rounding, and compensating for them. Division of two natural numbers and whole numbers may or may not result in natural and whole numbers, respectively. If it is less than 5, replace it and all the digits to its right. Note the digit to the immediate right of the round-off digit. Mark the position of the round-off digit. Now also correct the error that was made by subtracting R300 instead of R273. From the observations made in the preceding examples, we can use the following method to round a whole number to a particular position. How can this error be corrected: by adding R23 to the R500, or by subtracting it from R500?Ĭorrect the error to get a better estimate. Will each person get \(2\), \(4\) or 2\(\frac500\).īy working with R800 instead of R823, an error was introduced into your answer. Two remaining slabs are divided as shown here? Much more than two full slabs can each person get, if the Will each person get more or less than two full slabs of chocolate?Ĭan each person get another half of a slab? ![]() You may use a calculator to calculate the following: Within the set of integers, the sum of twoĬalculate the following without using a calculator. To the whole number 5 and the negative number ForĮach whole number, there is a negative number that corresponds Set of whole numbers forms part of the set of integers. \quad \leftarrow \quad \leftarrow \quad \leftarrow \quad -5 \quad -4 \quad -3 \quad -2 \quad -1 \quad 0 \quad 1 \quadĢ \quad 3 \quad 4 \quad 5 \quad 6 \quad \rightarrow \quad \rightarrow \quad \rightarrow \quad. The whole numbers start with 0 and extend in \(-3\) is read as "negative 3" or "minus 3". But there is anĪnswer to this subtraction in the system of integers. For example there is no whole number that Is there an identity element for multiplication in the wholeĪnswer is available when you subtract a number from a number Natural numbers there is no identity element for addition. The answer is just the number you start with: \(24 + 0 = 24\).Ĭalled the identity element for addition. If you are working with whole numbers, in other words If you are working with natural numbers and youĪdd two numbers, the cd will always be different from any ForĮxample, all the numbers that belong in the yellow cells below Symbol for 10, all multiples of 10 and some other numbers. ![]() In each of the following cases, say whether the answer is a natural number or not. Lets think about if there are any whole numbers that, when multiplied by. ![]() Other natural numbers? If so, what is it? Ive written down a couple of detailed examples from my experience. Is there a largest natural number, in other words, a natural number that is larger than all Is there a smallest natural number, that means a natural number that is smaller than all other natural Is not closed under subtraction or division. ![]()
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